Graphing a function (detailed steps)

Hello.
what kind of function is this , F(x) = 12x/(3 + x^2)? is it a rational function function?
how would you graph it ? just plug in the x to find the y ?
if you are able to graph it,please give more detailed information.(steps)
i am not just looking for answer.


Thank you so much.

depends upon your background....if you have had calculus then you know the function is odd

so only 1st quadrant is needed , has a global max when x = sq rt 3 ,

inflection points when x = 0 and x = 3 , asymptotic to y = 0 , continuous everywhere.

Here's a table generated by plugging in various values for "x":

x: -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 …
f(x): -2.5 -2.8 -3.0 -3.2 -3.4 -3.4 -3.0 -1.8 …

Try plotting those data.

GRAPH:

http://s533.photobucket.com/user/revo_em…